Question

9. If 3 and 3 are the roots of x2 + ax + B = 0 and 8 and 2 are the roots of x2 + ax + b =0, then find the roots of the equation x² + ax +B=0.​

Answer 1

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Step-by-step explanation:

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Answer 2

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8,2 are the roots of x²+ax+β=0

⇒a=−(8+2)=−10

3,3 are the roots of x²+αx+b=0

⇒b=(3)(3)=9

x²+ax+b=0

⇒ x²−10x+9=0

⇒x²−9x−x+9=0

⇒x(x−9)−1(x−9)=0

⇒(x−9)(x−1)=0

∴x=9 or x=1